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Unitarizable Representations of the Deformed Para-Bose Superalgebra Uq[osp(1/2)] at Roots of 1

T. D. Palev, N. I. Stoilova

q-algarXiv:q-alg/9507026

Abstract

The unitarizable irreps of the deformed para-Bose superalgebra pBq, which is isomorphic to Uq[osp(1/2)], are classified at q being root of 1. New finite-dimensional irreps of Uq[osp(1/2)] are found. Explicit expressions for the matrix elements are written down.

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